The Numerical Treatment of Differential Equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1960
|
| Edition: | Third Edition |
| Series: | Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete
60 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | This book constitutes an attempt to present in a connected fashion some of the most important numerical methods for the solution of ordinary and partial differential equations. The field to be covered is extremely wide, and it is clear that the present treatment cannot be remotely exhaustive; in particular, for partial differential equations it has only been possible to present the basic ideas, and many of the methods developed extensively by workers in applied fields - hydrodynamics, aerodynamics, etc. -, most of which have been developed for specific problems, have had to be dismissed with little more than a reference to the literature. However, the aim of the book is not so much to reproduce these special methods, their corresponding computing schemes, etc. , as to acquaint a wide circle of engineers, physicists and mathematicians with the general methods, and to show with the aid of numerous worked examples that an idea of the quantitative behaviour of the solution of a differential equation problem can be obtained by numerical means with nothing like the trouble and labour that widespread prejudice would suggest. This prejudice may be partly due to the kind of mathematical instruction given in technical colleges and universities, in which, although the theory of differential equations is dealt with in detail, numerical methods are gone into only briefly |
| Physical Description: | 1 Online-Ressource (XV, 568 p) |
| ISBN: | 9783642884344 9783642884368 |
| ISSN: | 0072-7830 |
| DOI: | 10.1007/978-3-642-88434-4 |
Staff View
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Record in the Search Index
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-88434-4 |
| edition | Third Edition |
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| id | DE-604.BV042423096 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T06:38:41Z |
| institution | BVB |
| isbn | 9783642884344 9783642884368 |
| issn | 0072-7830 |
| language | English |
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| physical | 1 Online-Ressource (XV, 568 p) |
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| series | Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete |
| series2 | Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete |
| spelling | Collatz, Lothar 1910-1990 Verfasser (DE-588)118521543 aut The Numerical Treatment of Differential Equations by Lothar Collatz Third Edition Berlin, Heidelberg Springer Berlin Heidelberg 1960 1 Online-Ressource (XV, 568 p) txt rdacontent c rdamedia cr rdacarrier Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete 60 0072-7830 This book constitutes an attempt to present in a connected fashion some of the most important numerical methods for the solution of ordinary and partial differential equations. The field to be covered is extremely wide, and it is clear that the present treatment cannot be remotely exhaustive; in particular, for partial differential equations it has only been possible to present the basic ideas, and many of the methods developed extensively by workers in applied fields - hydrodynamics, aerodynamics, etc. -, most of which have been developed for specific problems, have had to be dismissed with little more than a reference to the literature. However, the aim of the book is not so much to reproduce these special methods, their corresponding computing schemes, etc. , as to acquaint a wide circle of engineers, physicists and mathematicians with the general methods, and to show with the aid of numerous worked examples that an idea of the quantitative behaviour of the solution of a differential equation problem can be obtained by numerical means with nothing like the trouble and labour that widespread prejudice would suggest. This prejudice may be partly due to the kind of mathematical instruction given in technical colleges and universities, in which, although the theory of differential equations is dealt with in detail, numerical methods are gone into only briefly Mathematics Mathematics, general Mathematik Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Numerisches Verfahren (DE-588)4128130-5 s 1\p DE-604 Numerische Mathematik (DE-588)4042805-9 s 2\p DE-604 Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete 60 (DE-604)BV049758308 60 https://doi.org/10.1007/978-3-642-88434-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Collatz, Lothar 1910-1990 The Numerical Treatment of Differential Equations Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete Mathematics Mathematics, general Mathematik Numerische Mathematik (DE-588)4042805-9 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4012249-9 (DE-588)4128130-5 |
| title | The Numerical Treatment of Differential Equations |
| title_auth | The Numerical Treatment of Differential Equations |
| title_exact_search | The Numerical Treatment of Differential Equations |
| title_full | The Numerical Treatment of Differential Equations by Lothar Collatz |
| title_fullStr | The Numerical Treatment of Differential Equations by Lothar Collatz |
| title_full_unstemmed | The Numerical Treatment of Differential Equations by Lothar Collatz |
| title_short | The Numerical Treatment of Differential Equations |
| title_sort | the numerical treatment of differential equations |
| topic | Mathematics Mathematics, general Mathematik Numerische Mathematik (DE-588)4042805-9 gnd Differentialgleichung (DE-588)4012249-9 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Numerische Mathematik Differentialgleichung Numerisches Verfahren |
| url | https://doi.org/10.1007/978-3-642-88434-4 |
| volume_link | (DE-604)BV049758308 |
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